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Finding the Fourth Proportional to 6,245.60, 9,355.80 and 3,898.40

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Solution

The fourth proportional to 6,245.60, 9,355.80 and 3,898.40 is: 5,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.60 : 9,355.80 = 3,898.40 : x
  2. Step 2: Convert to fraction form
    6,245.60/9,355.80 = 3,898.40/x
  3. Step 3: Cross multiply
    6,245.60x = 9,355.80 × 3,898.40
  4. Step 4: Simplify right side
    6,245.60x = 36,472,650.72
  5. Step 5: Solve for x
    x = 36,472,650.72/6,245.60
  6. Step 6: Final answer
    x = 5,839.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.